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330003329985 = 375719226907
BaseRepresentation
bin1001100110101011011…
…10110011001111000001
31011112210111111010000000
410303111232303033001
520401321323024420
6411333524350213
732561535010530
oct4632556631701
91145714433000
10330003329985
11117a5430518a
1253b59545369
1325171abb5c4
1411d87bb6317
1588b6744690
hex4cd5bb33c1

330003329985 has 128 divisors (see below), whose sum is σ = 714487910400. Its totient is φ = 142918105536.

The previous prime is 330003329933. The next prime is 330003329989. The reversal of 330003329985 is 589923300033.

It is a happy number.

330003329985 is a `hidden beast` number, since 3 + 300 + 0 + 332 + 9 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 330003329985 - 26 = 330003329921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 330003329985.

It is not an unprimeable number, because it can be changed into a prime (330003329989) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1340902 + ... + 1567808.

It is an arithmetic number, because the mean of its divisors is an integer number (5581936800).

Almost surely, 2330003329985 is an apocalyptic number.

330003329985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

330003329985 is an abundant number, since it is smaller than the sum of its proper divisors (384484580415).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330003329985 is an equidigital number, since it uses as much as digits as its factorization.

330003329985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226959 (or 226941 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 330003329985 in words is "three hundred thirty billion, three million, three hundred twenty-nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 35 45 57 63 81 95 105 133 135 171 189 243 285 315 399 405 513 567 665 729 855 945 1197 1215 1539 1701 1995 2187 2565 2835 3591 3645 4617 5103 5985 7695 8505 10773 10935 13851 15309 17955 23085 25515 32319 41553 53865 69255 76545 96957 161595 207765 226907 290871 484785 680721 1134535 1454355 1588349 2042163 3403605 4311233 4765047 6126489 7941745 10210815 12933699 14295141 18379467 21556165 23825235 30178631 30632445 38801097 42885423 55138401 64668495 71475705 90535893 91897335 116403291 128656269 150893155 165415203 194005485 214427115 271607679 275692005 349209873 385968807 452679465 496245609 582016455 643281345 814823037 827076015 1047629619 1157906421 1358038395 1746049365 1929844035 2444469111 2481228045 3142888857 3473719263 4074115185 5238148095 5789532105 7333407333 9428666571 12222345555 15714444285 17368596315 22000221999 36667036665 47143332855 66000665997 110001109995 330003329985